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Finding the Fourth Proportional to 5,212.88, 7,820.08 and 1,925.70

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Solution

The fourth proportional to 5,212.88, 7,820.08 and 1,925.70 is: 2,888.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.88 : 7,820.08 = 1,925.70 : x
  2. Step 2: Convert to fraction form
    5,212.88/7,820.08 = 1,925.70/x
  3. Step 3: Cross multiply
    5,212.88x = 7,820.08 × 1,925.70
  4. Step 4: Simplify right side
    5,212.88x = 15,059,128.06
  5. Step 5: Solve for x
    x = 15,059,128.06/5,212.88
  6. Step 6: Final answer
    x = 2,888.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.